Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity
High Energy Physics - Theory
2015-06-15 v2 General Relativity and Quantum Cosmology
Abstract
Starting from the Chern-Simons formulation, the two-dimensional dual theory for three-dimensional asymptotically flat Einstein gravity at null infinity is constructed. Solving the constraints together with suitable gauge fixing conditions gives in a first stage a chiral Wess-Zumino-Witten like model based on the Poincar\'e algebra in three dimensions. The next stage involves a Hamiltonian reduction to a BMS3 invariant Liouville theory. These results are connected to those originally derived in the anti-de Sitter case by rephrasing the latter in a suitable gauge before taking their flat-space limit.
Cite
@article{arxiv.1303.1075,
title = {Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity},
author = {Glenn Barnich and Hernan Gonzalez},
journal= {arXiv preprint arXiv:1303.1075},
year = {2015}
}
Comments
31 pages Latex file, v2: minimal changes and corrections